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125
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COMBINATORICS
2006
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15 years 3 months ago
Shift Equivalence of P-finite Sequences
We present an algorithm which decides the shift equivalence problem for Pfinite sequences. A sequence is called P-finite if it satisfies a homogeneous linear recurrence equation w...
Manuel Kauers
COMBINATORICS
2006
92views more  COMBINATORICS 2006»
15 years 3 months ago
Meta-Fibonacci Sequences, Binary Trees and Extremal Compact Codes
We consider a family of meta-Fibonacci sequences which arise in studying the number of leaves at the largest level in certain infinite sequences of binary trees, restricted compos...
Brad Jackson, Frank Ruskey
112
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COMBINATORICS
2006
116views more  COMBINATORICS 2006»
15 years 3 months ago
Classifying Descents According to Equivalence mod k
In [5] the authors refine the well-known permutation statistic "descent" by fixing parity of one of the descent's numbers. In this paper, we generalize the results o...
Sergey Kitaev, Jeffrey B. Remmel
133
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COMBINATORICS
2006
116views more  COMBINATORICS 2006»
15 years 3 months ago
Neighbour-Distinguishing Edge Colourings of Random Regular Graphs
A proper edge colouring of a graph is neighbour-distinguishing if for all pairs of adjacent vertices v, w the set of colours appearing on the edges incident with v is not equal to...
Catherine S. Greenhill, Andrzej Rucinski
127
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COMBINATORICS
2006
114views more  COMBINATORICS 2006»
15 years 3 months ago
Total 4-Choosability of Series-Parallel Graphs
It is proved that, if G is a K4-minor-free graph with maximum degree 3, then G is totally 4-choosable; that is, if every element (vertex or edge) of G is assigned a list of 4 colo...
Douglas R. Woodall